2 167 573 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
13005439	8	23.6	old
897375223	9	29.7	2008-07-14 20:21:30
38140270830630559	17	55.1	2015-01-04 12:28:03
73934648877658863113	20	66.0	2016-03-31 11:13:20
349286561285018139617	21	68.2	2016-03-31 11:13:20
2096425528280012821625969	25	80.8	2022-02-13 20:08:22

ECM

Digits	B1	Curves
25	50000	97 / 280

Estimated T-Level: 21.7 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-09	kkmrkkblmbrbk	6FAE8BC35D1E8709	5	0	1	3
Verified (Factored)	2017-10-22	Oliver Kruse	6FAE8BC35D1E8709	5	257595	1	3
Verified	2022-02-15	_p95holder_	4961A3DCBC371AA4	6	1940723	5	3
Verified	2022-02-21	LaurV	4961A3DCBC371AA4	6	204417	5	3

P-1 factors

Date	Factor	B1	B2
2016-03-31	349286561285018139617	500000	15000000
2016-03-31	73934648877658863113	500000	15000000

History

Date	User	Type	Result
2022-02-21	curtisc	CERT	PRP Certification Proof certified good
2022-02-21	LaurV	C-PRP	M2167573/13005439/897375223/38140270830630559/349286561285018139617/73934648877658863113/2096425528280012821625969 : 4961A3DCBC371AA4 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-15	_p95holder_	C-PRP	M2167573/13005439/897375223/38140270830630559/349286561285018139617/73934648877658863113/2096425528280012821625969 : 4961A3DCBC371AA4 PRP: Verified PRP without proof (not generated)
2022-02-13	_p95holder_	F-ECM	Factor: 2096425528280012821625969 / (ECM curve 1, B1=50000, B2=5000000)
2017-10-22	Oliver Kruse	C-PRP	M2167573/13005439/897375223/38140270830630559/349286561285018139617/73934648877658863113 : 6FAE8BC35D1E8709 PRP: Verified PRP without proof (not generated)
2017-10-09	kkmrkkblmbrbk	C-PRP	M2167573/13005439/897375223/38140270830630559/73934648877658863113/349286561285018139617 : 6FAE8BC35D1E8709 PRP: Verified PRP without proof (not generated)
2016-03-31	alpertron	F-PM1	Factor: 25824379266292690104255970591838525247721 / (P-1, B1=500000, B2=15000000, E=12)
2015-01-04	TJAOI	F	Factor: 38140270830630559 / TF: 55-56
2008-07-14	George Woltman	F-ECM	Factor: 897375223